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Mathematics
Mathematics
Problem
(a) Use Equation 2 to compute the length of the given line segment. (b) Compute the length using the distance formula and compare to your answer from part (a).
r
(
t
)
=
⟨
3
−
t
,
2
t
,
4
t
+
1
⟩
,
1
≤
t
≤
3
\mathbf{r}(t) = \langle 3 - t, 2t, 4t + 1 \rangle, \quad 1 \le t \le 3
r
(
t
)
=
⟨
3
−
t
,
2
t
,
4
t
+
1
⟩
,
1
≤
t
≤
3
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